Title: Matrix-product state skeletons in Onsager-integrable quantum chains
Abstract: In this talk, I will discuss how skeletons of matrix-product-state-solvable models underlie the phase diagrams of Onsager-integrable chiral clock models. I will demonstrate how to construct these MPS skeletons using the Onsager algebra in gapped phases. Moreover, the skeleton is dense, meaning that a point along the skeleton approximates an arbitrary gapped Hamiltonian in the phase diagram. This provides us with a route to calculating correlation functions such as string-order parameters; such parameters are diagnostics of the symmetry-protected topological order of the phases.
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